Highest Common Factor of 322, 195, 292 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 322, 195, 292 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 322, 195, 292 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 322, 195, 292 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 322, 195, 292 is 1.

HCF(322, 195, 292) = 1

HCF of 322, 195, 292 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 322, 195, 292 is 1.

Highest Common Factor of 322,195,292 using Euclid's algorithm

Highest Common Factor of 322,195,292 is 1

Step 1: Since 322 > 195, we apply the division lemma to 322 and 195, to get

322 = 195 x 1 + 127

Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 127 and 195, to get

195 = 127 x 1 + 68

Step 3: We consider the new divisor 127 and the new remainder 68, and apply the division lemma to get

127 = 68 x 1 + 59

We consider the new divisor 68 and the new remainder 59,and apply the division lemma to get

68 = 59 x 1 + 9

We consider the new divisor 59 and the new remainder 9,and apply the division lemma to get

59 = 9 x 6 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 322 and 195 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(59,9) = HCF(68,59) = HCF(127,68) = HCF(195,127) = HCF(322,195) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 292 > 1, we apply the division lemma to 292 and 1, to get

292 = 1 x 292 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 292 is 1

Notice that 1 = HCF(292,1) .

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Frequently Asked Questions on HCF of 322, 195, 292 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 322, 195, 292?

Answer: HCF of 322, 195, 292 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 322, 195, 292 using Euclid's Algorithm?

Answer: For arbitrary numbers 322, 195, 292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.